With your hands, pull the battery away from the rest of the casing.

Using tweezers, unplug the battery connector. Pry up underneath the hard backing plate, taking care to not peel the cable off of the backing plate.

Measure the location of the charging coil on the old battery and transfer those measurements to the new battery. Carefully peel off the charging coil.

Transfer the charging coil to the new battery. For the four-wire connector on the other side, measure the location of the contacts/pins on the phone itself and transfer it to the backside of the battery.